Given information
From the question we get the following values:
Alpha particle's mass 
The atomic nucleus's mass 
Speed of the remaining nucleus 
The nucleus's speed 
Step-by-step explanation
At first we have to know the definition of momentum. So, Momentum is a measure of mass in motion that means, how much mass is moving and how fast. It is commonly denoted by the letter p.
Momentum is preserved during the disintegration of an atomic nucleus into a daughter nucleus and an alpha particle. This is due to the absence of any external influences in the degradation process.
If the atomic nucleus's mass before disintegration is M and its speed is 
, then the nucleus's initial momentum is given by
There,
the mass of the alpha particle = 
its speed = 
the mass of the remaining nucleus = 
its speed = 
then the final momentum of the system is given by
Since, momentum is constant,
The alpha particle's speed is determined by,
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Physics: Principles with Applications
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